Hostname: page-component-76fb5796d-22dnz Total loading time: 0 Render date: 2024-04-27T00:44:04.799Z Has data issue: false hasContentIssue false
  • English
  • Français

ALGEBRAS OF SYMMETRIC HOLOMORPHIC FUNCTIONS ON ${\cal L}_p$

Published online by Cambridge University Press:  24 March 2003

RAYMUNDO ALENCAR ,
RICHARD ARON ,
PABLO GALINDO  and
ANDRIY ZAGORODNYUK
RAYMUNDO ALENCAR
Affiliation:
Instituto Tecnologico de Aeronautica, S.J. Campos, S.P., Brazilralencar@ief.ita.br
RICHARD ARON
Affiliation:
Department of Mathematics, Kent State University, Kent, OH 44242, USAaron@mcs.kent.edu
PABLO GALINDO
Affiliation:
Departamento de Análisis Matemático, Universidad de Valencia, Doctor Moliner 50, 46100 Burjasot (Valencia), SpainPablo.Galindo@uv.es
ANDRIY ZAGORODNYUK
Affiliation:
Inst. for Applied Problems of Mechanics and Mathematics, Ukrainian Academy of Sciences, 3 b, Naukova Str., Lviv, Ukraine, 290601 sirand@mebm.lviv.ua
Get access

Abstract

The authors study the algebra of uniformly continuous holomorphic symmetric functions on the ball of ${\cal L}_p$ , investigating in particular the spectrum of such algebras. To do so, they examine the algebra of symmetric polynomials on ${\cal L}_p$ -spaces, as well as finitely generated symmetric algebras of holomorphic functions. Such symmetric polynomials determine the points in ${\cal L}_p$ up to a permutation.

Type
NOTES AND PAPERS
Information
Bulletin of the London Mathematical Society , Volume 35 , Issue 1 , January 2003 , pp. 55 - 64
Copyright
© The London Mathematical Society 2003

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Footnotes

The first author was partially supported by FAPESP # 0004135 – 8. The work of the second author on this project started while he was a visitor in the Department of Mathematics at the Universidade de Coimbra, Portugal, to which sincere thanks are given. The third author was partially supported by DGESIC pr. no. P.B.96-0758. Finally, the work of the fourth author was supported in part by NSF Grant no. P-1-2089.